What is the Least Common Multiple of 54024 and 54033?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 54024 and 54033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54024 and 54033, than apply into the LCM equation.

GCF(54024,54033) = 3
LCM(54024,54033) = ( 54024 × 54033) / 3
LCM(54024,54033) = 2919078792 / 3
LCM(54024,54033) = 973026264

Least Common Multiple (LCM) of 54024 and 54033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54024 and 54033. First we will calculate the prime factors of 54024 and 54033.

Prime Factorization of 54024

Prime Factorization of 54033

Now multiplying the highest exponent prime factors to calculate the LCM of 54024 and 54033.

LCM(54024,54033) = 2³ × 3¹ × 2251¹ × 7¹ × 31¹ × 83¹
LCM(54024,54033) = 973026264